Pith Number

pith:Z2DZU62M

pith:2015:Z2DZU62M3UZL5WEZVXGWELPPIA

not attested not anchored not stored refs pending

Avoidability of long $k$-abelian repetitions

Matthieu Rosenfeld, Micha\"el Rao

arxiv:1507.02581 v1 · 2015-07-09 · cs.DM · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2DZU62M3UZL5WEZVXGWELPPIA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:37:06.309892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce879a7b4cdd32bed899adcd622def4007aca379926d7b5b47270ec89765f910

Aliases

arxiv: 1507.02581 · arxiv_version: 1507.02581v1 · doi: 10.48550/arxiv.1507.02581 · pith_short_12: Z2DZU62M3UZL · pith_short_16: Z2DZU62M3UZL5WEZ · pith_short_8: Z2DZU62M

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z2DZU62M3UZL5WEZVXGWELPPIA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ce879a7b4cdd32bed899adcd622def4007aca379926d7b5b47270ec89765f910

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12bce3280996fcb0690590552410580f7cb2c796dfdfe068f1cfc9bdb8ecb447",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-07-09T16:26:51Z",
    "title_canon_sha256": "3a1c9be19adde7336a6afc7b8cbfb98260fa44ad18b068b444f42ed1635fd04d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02581",
    "kind": "arxiv",
    "version": 1
  }
}